- #1
the_morbidus
- 18
- 0
having problem solving a limit!
Solve the following limits algebraically.
lim x->5 x^2 - 25 / √(2x+6) -4
i've tried a different few ways.
so by factoring the top i have (x+5)(x-5) so i get x=5 or x=-5, and while 5 is the limit, -5 on top with the square it will just render the negative sign useless.
tried to multiply the bottom cognitive
(x^2-25)(√(2x+6)+4)/(√(2x+6)-4)(√(2x+6)+4) =
=(x^2-25)(√(2x+6)+4)/(√(2x+6))^2 - (4)^2 =
=(x^2-25)(√(2x+6)+4)/2x+6-16=
=(x^2-25)(√(2x+6)+4)/2x-10
i'm stuck here and i doubt this is even the proper route.
Homework Statement
Solve the following limits algebraically.
lim x->5 x^2 - 25 / √(2x+6) -4
Homework Equations
The Attempt at a Solution
i've tried a different few ways.
so by factoring the top i have (x+5)(x-5) so i get x=5 or x=-5, and while 5 is the limit, -5 on top with the square it will just render the negative sign useless.
tried to multiply the bottom cognitive
(x^2-25)(√(2x+6)+4)/(√(2x+6)-4)(√(2x+6)+4) =
=(x^2-25)(√(2x+6)+4)/(√(2x+6))^2 - (4)^2 =
=(x^2-25)(√(2x+6)+4)/2x+6-16=
=(x^2-25)(√(2x+6)+4)/2x-10
i'm stuck here and i doubt this is even the proper route.